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Finding the Fourth Proportional to 1,312,671.60, 1,969,007.40 and 976,748.40

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Solution

The fourth proportional to 1,312,671.60, 1,969,007.40 and 976,748.40 is: 1,465,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,671.60 : 1,969,007.40 = 976,748.40 : x
  2. Step 2: Convert to fraction form
    1,312,671.60/1,969,007.40 = 976,748.40/x
  3. Step 3: Cross multiply
    1,312,671.60x = 1,969,007.40 × 976,748.40
  4. Step 4: Simplify right side
    1,312,671.60x = 1,923,224,827,538.16
  5. Step 5: Solve for x
    x = 1,923,224,827,538.16/1,312,671.60
  6. Step 6: Final answer
    x = 1,465,122.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.